Semicanousmic clan

This is a collection of rank-3 temperaments tempering out the semicanousma, 14641/14580 = [-2 -6 -1 0 4⟩.

Temperaments discussed elsewhere are:

• Urania, {81/80, 121/120} → Didymus rank three family
• Triglav, {3025/3024, 3136/3125} → Hemimean family
• Semicanou, {9801/9800, 14641/14580} → Canou family

Considered below is the no-7 subgroup temperament, but we can begin by looking at the rank-4 temperament.

Semicanousmic

Subgroup: 2.3.5.7.11

Comma list: 14641/14580

Mapping: [⟨1 0 2 0 1], ⟨0 1 2 0 2], ⟨0 0 4 0 1], ⟨0 0 0 1 0]]

POTE generators: ~3/2 = 702.2503, ~11/9 = 345.4579, ~7/4 = 968.6866

Badness: 0.3506 × 10^-6

No-7 semicanousmic

Subgroup: 2.3.5.11

Comma list: 14641/14580

Sval mapping: [⟨1 0 2 1], ⟨0 1 2 2], ⟨0 0 4 1]]

POTE generators: ~3/2 = 702.2503, ~11/9 = 345.4579

Badness: 0.1425 × 10^-3